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Finding the Fourth Proportional to 541.26, 746.18 and 363.91

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Solution

The fourth proportional to 541.26, 746.18 and 363.91 is: 501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.26 : 746.18 = 363.91 : x
  2. Step 2: Convert to fraction form
    541.26/746.18 = 363.91/x
  3. Step 3: Cross multiply
    541.26x = 746.18 × 363.91
  4. Step 4: Simplify right side
    541.26x = 271,536.81
  5. Step 5: Solve for x
    x = 271,536.81/541.26
  6. Step 6: Final answer
    x = 501.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.